非线性系统非稳态随机响应的一种计算方法

本文给出了一种计算受调制白噪声激励的非线性系统非稳态响应的方法。考虑了等效线化系统的时变性，获得了位移，速度的均方和协方的递推关系。给出了一个算例，将计算结果与其它文献的结果进行了比较。证明该方法是简单，精确和有效的。

A Calculating Method for Non-Stationary ResponseAnalysis of Non-linear Random Systems

A method for calculating the non-stationary responses of the non-linearsystem subjected to shaped white noise excitation is formulated in thispaper.The time-dependent equivalent linear system is considered and therecuraive relations for evaluating the variances and covariances ofdisplacament and velocity are obtained.An example is presented and theresults are compared with those available in the literature.The method issimple, accurate and effective.